Answer:
y = -5
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
-9 = 2(18) + 9y
Step 2: Solve for y
Multiply: -9 = 36 + 9ySubtract 36 on both sides: -45 = 9yDivide both sides by 9: -5 = yRewrite: y = -5Step 3: Check
Plug in y to verify it's a solution.
Substitute: -9 = 2(18) + 9(-5)Multiply: -9 = 36 - 45Subtract: -9 = -9What is the value of cos(x/2) if tan x=1/2 and x is in quadrant III
Answer:
Step-by-step explanation:
The value of cos(x/2) is required.
The required value is [tex]\cos(x/2)=-\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]
TrigonometryThe given value is
[tex]\tan x=\dfrac{1}{2}[/tex] where x is in quadrant III.
From trigonometric identities we have
[tex]\sec^2x=1+\tan^2x\\\Rightarrow \sec^2x=1+(\dfrac{1}{2})^2\\\Rightarrow \sec^2x=\dfrac{5}{4}\\\Rightarrow \cos^{2}x=\dfrac{4}{5}\\\Rightarrow \cos x=\dfrac{2}{\sqrt{5}}[/tex]
If x lies in quadrant III then x/2 lies in quadrant II.
Cos is negative in quadrant III so,
[tex]\cos x=-\dfrac{2}{\sqrt{5}}=-\dfrac{2\sqrt{5}}{5}[/tex]
[tex]\cos \dfrac{x}{2}=\pm \sqrt{\dfrac{1+\cos x}{2}}\\ =\pm\sqrt{\dfrac{1-\dfrac{2\sqrt{5}}{5}}{2}}\\ =\pm\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]
Since, x/2 lies in the second quadrant and cos (x/2) is negative.
The required value is [tex]-\sqrt{\dfrac{5-2\sqrt{5}}{10}}[/tex]
Learn more about trigonometry:
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Suppose a system of equations was solved my elimination and the resulting equation was 0=3. Which of the following statements is/are true.
a. The slopes of the two equations in the system are the same but their y-intercepts are different.
b. The system is an independent system.
c. The graphs of the two equations would intersect at the point (0,3).
Answer:
a. The slopes of the two equations in the system are the same but their y-intercepts are different.Step-by-step explanation:
The system resulting in equation 0=3 means:
There is no solutionThe lines are parallel as no intersectionCorrect choice is:
a. The slopes of the two equations in the system are the same but their y-intercepts are different.A delivery driver earns $221 for 17 hours of work. Assuming he is paid by the hour, how much will he earn in 12 hours?
Answer:
156
Step-by-step explanation:
221/17=13
13*12=156
Answer:
$156
Step-by-step explanation:
221/17=x/12
221*12=17x
2652=17x
156=x
Do it right plss I need good grades
Answer:its yhe one on the right
Step-by-step explanation:
Answer:
138 per 6 is the better deal
Step-by-step explan
$23 per g is the unit rate
Simplify (1/2)4. Plz answer fast
Answer: 2
Step-by-step explanation: 1/2 x 4 = 4/2 = 2/1 = 2.
Mass = 65 kg
Acceleration = 0.3 m/s2
Force =
Answer: 19.5 N
Step-by-step explanation:
Answer:
The answer is 19.2N
Step-by-step explanation:
F=m a
F=64*0.3=19.2N
Please help me out!
A polygon has 6 sides . The interior angles measures are 118°,127°,111°,123°,126°.and x° find the values of x .
The value of 'x' is 115 degrees and this can be determined by using the sum of interior angles property of hexagon.
Given :
A polygon has 6 sides. The interior angles measures are 118°, 127°, 111°, 123°, 126°, and x°.The following steps can be used in order to determine the value of x which is an interior angle of a hexagon:
Step 1 - According to the given data, the given polygon has 6 sides means that it is a hexagon with interior angles 118°, 127°, 111°, 123°, 126°, and x°.
Step 2 - The sum of interior angles of a hexagon is 720 degrees.
Step 3 - So, the values of 'x' can be calculated by using the below expression:
118 + 127 + 111 + 123 + 126 + x = 720
Step 4 - Simplify the above expression.
605 + x = 720
x = 720 - 605
x = 115 degrees
For more information, refer to the link given below:
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WILL MARK BRAINLIEST!!! Can someone help me wit dis question?
Given y = 9x - 4, what is the y-intercept?
a.) 4
b.) -4
c.) 9
Answer:
B.) -4
Step-by-step explanation:
y=mx+b
b is equal to the y-intercept.
Answer:
-4
Step-by-step explanation:
The slope intercept form is y = mx + b.
m = slope
b = y-intercept
since b = -4, the y-intercept is -4
The amount of women to men in a Halloween costume contest was 8 to 4. Write 3 equivalent ratios to match this ratio!!!!! ASAP PLS HELP DUE IN 1 HOURRR
Answer:
1)4:2 3) 2/1 (2 over 1) 5) 4 to 2
Step-by-step explanation:
Answer:
A, C, E
Step-by-step explanation:
?????
The atomic number of an element B is 17. The number of electrons in its ion B will be:
(a) 17 (b) 18. (c) 19. (d) 20.
answer with explanation
Answer:
18
Step-by-step explanation:
don't step answer. Because I am lol
13. What is the cube root of 217 to the nearest
integer?
A. 6
B. 15
C. 72
D. 109
86
Math Aca
Answer:
A
Step-by-step explanation:
Answer:
The answer is
A.6
find the slope of the line if it exists
a. the slope is ___
b. the slope is undefined
Answer:
The slope is -4/3.
Step-by-step explanation:
Slope = rise/run. Starting at (3, -1), you go up 4 units and over to the left 3 units to (0,3). Since it's a line of decay, the slope is negative.
Answer:
the slope should be -4/3
Step-by-step explanation:
you go down 4 and to the right 3 so I am pretty sure it is -4/3
2. Find the value of x.
17x - 3
17X-13-ax+3
9x + 13
Based on the HL congruence rule, the value of x, is calculated as:
x = 2.
How to Find the Value of x in the Triangle Using the HL congruence theorem?Both triangles that share the same side and have corresponding angle 90 degrees and a pair of corresponding congruent hypotenuse are congruent to each other based on the HL congruence theorem.
This means that:
17x - 3 = 9x + 13
Solve for the value of x:
17x - 9x = 3 + 13
8x = 16
Divide both sides by 8:
8x/8 = 16/8
x = 2
The value of x is: 2.
Learn more about HL congruence theorem on:
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Please answer will give brainliest if correct.
Answer:
x intercept (2,0)
y intercept (0,-4)
Answer:
x intercept (2,0)
y intercept (0,-4)
Step-by-step explanation:
give me brainliest
Find the sum of the complex numbers.
(3 + 5i) + (10 + 71)
O A. 13 + 121
O B. 7 + 121
O
C. 13 + 2i
O D. 7 + 21
Answer:
A
Step-by-step explanation:
(3 + 5i) + (10 + 7i) =
3 + 5i +10 + 7i =
3 + 10 + 5i + 7i =
13 + 12i
c = x + a / b solve for the x
Answer:
x= C-a/b
Step-by-step explanation: Ik alllLlLLlllLlLL
(my other account is actingqueen2468 but i forgot my password)
The total charge on 4 particles is −36 units. All the particles have the same charge.
need asap What is the charge on each particle?
−9 units
−8 units
8 units
9 units
Answer:
-9
Step-by-step explanation:
If you multiply 9x4 you get 36. its minus 36 so therefor it has to be -9
Hope this helps :) <3
Simplify 7 +(-3). (1 point)
Answer:
4
Step-by-step explanation:
7-3=4
Answer:
7-3=4
Step-by-step explanation:
Im not quite sure if this is what you were asking for but here
URGENT HELP! VIEW PICTURE
Answer:
it 2
Step-by-step explanation:
Solve the equation. a4−56=−12 a=
Are the lines parallel? 2x + 3y = 6 and 2x + 3y = 10
Answer:
the fact that this dosen´t the question like
Step-by-step explanation:
Will give brainliest if correct.
Answer:
X Intercept: (-2, 0)
Y Intercept: (0, 7)
Explanation:
Plug y = 0 into the equation and solve the resulting equation 7x = −14 for x. Plug x = 0 into the equation and solve the resulting equation −2y = −14 for y.
Answer:
(- 2, 0 ) and (0, 7 )
Step-by-step explanation:
To find the x- intercept let y = 0 in the equation and solve for x
7x - 2(0) = - 14, that is
7x = - 14 ( divide both sides by 7 )
x = - 2 ⇒ (- 2, 0 ) is the x- intercept
To find the y- intercept let x = 0 in the equation and solve for y
7(0) - 2y = - 14, that is
- 2y = - 14 ( divide both sides by - 2 )
y = 7 ⇒ (0, 7 ) is the y- intercept
Jessica added the two distances in the table to get a sum
of 26.95 miles.
Jessica's Running Journal
Week 1
11.9 miles
Week 2
15.05 miles
Explain the steps you use to determine if Jessica's
answer is reasonable.
LOTS OF POINTS HELP ASAP
Answer:
Round to the nearest whole number and then add the numbers. The estimate should be close in value to the actual sum.
Step-by-step explanation:
Please help will brainlist
Answer:
4 is C for sure!
Step-by-step explanation:
Please help this is due today :)
Which pair of angles are alternate exterior angles?
A) 1 and 8
B) 1 and 7
C) 2 and 7
D) 2 and 9
Answer:
Option (C)
Step-by-step explanation:
From the picture attached,
Two lines are the parallel lines and one line is intersecting these lines at two distinct points.
m∠3 = ∠6 [Alternate interior angles]
Since, angles 2 and 7 are the vertically opposite angles,
m∠2 = m∠7 [Alternate exterior angles]
Therefore, angles ∠2 and ∠7 are the pair of alternate exterior angles.
Option (C) is the answer.
Subtract 5x^2+8x-11 from 3x^2+8x-7
Is 0.000027 greater than 270?
Answer:
no because it is lower than 1 and 270 is higher
Answer:
No, because 0.000027 is a decimal. Any decimal with 0. *something* will be less than one. 27 is more than one. Thus, the statement is false.
who can help me and answer the 2 questions for me :(